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Finding the Third Proportional to 54,823.50 and 83,703.38

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Solution

The third proportional to 54,823.50 and 83,703.38 is: 127,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823.50 : 83,703.38 = 83,703.38 : x
  2. Step 2: Convert to fraction form
    54,823.50/83,703.38 = 83,703.38/x
  3. Step 3: Cross multiply
    54,823.50x = 83,703.38 × 83,703.38
  4. Step 4: Simplify right side
    54,823.50x = 7,006,254,986.39
  5. Step 5: Solve for x
    x = 7,006,254,986.39/54,823.50
  6. Step 6: Final answer
    x = 127,796.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.